Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240dc |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1919196426240000 = 215 · 311 · 54 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 6 -2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86412,-9547184] |
[a1,a2,a3,a4,a6] |
j |
2987228332808/80341875 |
j-invariant |
L |
2.2313058071413 |
L(r)(E,1)/r! |
Ω |
0.27891322725518 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240cn2 33120be2 22080y2 |
Quadratic twists by: -4 8 -3 |